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Calculus Two Linear and Nonlinear Functions

ISBN-10: 0387973885
ISBN-13: 9780387973883
Edition: 2nd 1990 (Revised)
List price: $84.95 Buy it from $20.56
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Description: Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear  More...

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Book details

List price: $84.95
Edition: 2nd
Copyright year: 1990
Publisher: Springer
Publication date: 11/6/1998
Binding: Hardcover
Pages: 622
Size: 6.50" wide x 10.00" long x 1.25" tall
Weight: 2.288
Language: English

Calculus and linear algebra are two dominant themes in contemporary mathematics and its applications. The aim of this book is to introduce linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. In this way, many of the ideas, techniques, and formulas in the calculus of several variables are clarified and understood in a more conceptual way. After using this text a student should be well prepared for subsequent advanced courses in both algebra and linear differential equations as well as the many applications where linearity and its interplay with nonlinearity are significant. This second edition has been revised to clarify the concepts. Many exercises and illustrations have been included to make the text more usable for students.

Remembrance of Things Past
The Algebra of Rn
The Geometry of Rn
Linear Functions
Curves: Mappings F: R-Rq
Topics for Review and Preview
Functions f: Rn-R
Scalar-Valued Functions and Extrema
Vector Functions F: Rn-Rq
Integration in Rn
Vector Integrals and Stokes' Theorem
Answers and Partial
Answers to Selected Exercises
Index

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